Quantum Computing with Superqubits
Abstract
We analyze some aspects of quantum computing with super-qubits (squbits). We propose the analogue of a superfield formalism, and give a physical interpretation for the Grassmann coefficients in the squbit expansion as fermionic creation operators of an auxiliary quantum system. In the simplest case the squbit is a superposition of one Bose X Bose and one Fermi X Fermi state, and its norm is invariant under a U(2) group realized with Clifford-valued matrices. This case can be generalized to a superposition of nB bosonic and nF fermionic states, with a norm invariant under U(nB + nF). Entanglement between squbits, super quantum gates and teleportation are discussed.
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